On a sunny day, MiniGolf can gross $2000 in revenues. If the day is cloudy, revenues drop

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On a sunny day, MiniGolf can gross $2000 in revenues. If the day is cloudy, revenues drop by 20%. A rainy day will reduce revenues by 80%. If today’s weather is sunny, there is an 80% chance it will remain sunny tomorrow with no chance of rain. If it is cloudy, there is a 20% chance that tomorrow will be rainy and 30% chance it will be sunny. Rain will continue through the next day with a probability of .8, but there is a 10% chance it may be sunny.

(a) Determine the expected daily revenues for MiniGolf.

(b) Determine the average number of days the weather will not be sunny.

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